The Leray-Schauder index and the fixed point theory for arbitrary ANRs
Andrzej Granas (1972)
Bulletin de la Société Mathématique de France
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Displaying similar documents to “On the uniqueness of the fixed point index on differentiable manifolds.”
The Leray-Schauder index and the fixed point theory for arbitrary ANRs
The index of discontinuous vector fields.
Gottlieb, Daniel H., Samaranayake, Geetha (1995)
The New York Journal of Mathematics [electronic only]
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On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications.
Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2002)
Abstract and Applied Analysis
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On the generalization of the Nielsen number
R. Dobreńko, Z. Kucharski (1990)
Fundamenta Mathematicae
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On a generalization of the Conley index
Marian Mrozek, James Reineck, Roman Srzednicki (1999)
Banach Center Publications
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In this note we present the main ideas of the theory of the Conley index over a base space introduced in the papers [7, 8]. The theory arised as an attempt to solve two questions concerning the classical Conley index. In the definition of the index, the exit set of an isolating neighborhood is collapsed to a point. Some information is lost on this collapse. In particular, topological information about how a set sits in the phase space is lost. The first question addressed is how to retain...
The coincidence index for fundamentally contractible multivalued maps with nonconvex values
Dorota Gabor (2000)
Annales Polonici Mathematici
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We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given. ...
A fixed point index for bimaps
Helga Schirmer (1990)
Fundamenta Mathematicae
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An index and a Nielsen number for n-valued multifunctions
Helga Schirmer (1984)
Fundamenta Mathematicae
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Higher-order Nielsen numbers.
Saveliev, Peter (2005)
Fixed Point Theory and Applications [electronic only]
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Small Inductive Dimension of Topological Spaces
Karol Pąk (2009)
Formalized Mathematics
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We present the concept and basic properties of the Menger-Urysohn small inductive dimension of topological spaces according to the books [7]. Namely, the paper includes the formalization of main theorems from Sections 1.1 and 1.2.